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Martin Andersson: Remarkable convergence of Birkhoff sums of continuous dynamical systems

Time: Wed 2014-08-27 13.15

Location: Room 3721, Lindstedtsvägen 25, 7th floor, Department of mathematics, KTH

Participating: Martin Andersson, UFF, Niteroi - RJ, Brazil

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Abstract. We will make a rapid review of results and conjectures about convergence of Birkhoff sums and existence of physical measures for differentiable dynamical systems. Then we consider how some "suspicious" results appear when the same results are applied to systems which are merely continuous. In the generic case, we can give a fairly complete description.